Engineering Board Exam Reviewer · Circles: Arcs and Angles · medium

A tangent and a chord meet at a point on a circle and intercept an arc of 100°. Find the angle between the tangent and the chord.

  1. 50°
  2. 100°
  3. 200°
  4. 80°

Answer

A. 50°

Solution

A tangent-chord angle is half its intercepted arc: 100°/2=50°.

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